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45921384 = 2333297331
BaseRepresentation
bin1010111100101…
…1010001101000
310012102001022000
42233023101220
543223441014
64320131000
71065216405
oct257132150
9105361260
1045921384
1123a15463
1213466a60
13968ab22
1461552ac
154071509
hex2bcb468

45921384 has 64 divisors (see below), whose sum is σ = 131976000. Its totient is φ = 14777280.

The previous prime is 45921383. The next prime is 45921389. The reversal of 45921384 is 48312954.

45921384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45921383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2599 + ... + 9929.

It is an arithmetic number, because the mean of its divisors is an integer number (2062125).

Almost surely, 245921384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45921384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65988000).

45921384 is an abundant number, since it is smaller than the sum of its proper divisors (86054616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45921384 is a wasteful number, since it uses less digits than its factorization.

45921384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7365 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 45921384 is about 6776.5318563407. The cubic root of 45921384 is about 358.1005512215.

The spelling of 45921384 in words is "forty-five million, nine hundred twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 7331 14662 21993 29324 43986 58648 65979 87972 131958 175944 197937 212599 263916 395874 425198 527832 637797 791748 850396 1275594 1583496 1700792 1913391 2551188 3826782 5102376 5740173 7653564 11480346 15307128 22960692 45921384